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受欢迎的代数 >

展开 ((-7x+630)^2)/(900)

解答

展开

\frac{( - 7 x + 630 ) ^{2}}{900}

解答

\frac{49 x ^{2}}{900} - \frac{49 x}{5} + 441

求解步骤

\frac{( - 7 x + 630 ) ^{2}}{900}

(- 7 x + 630)^{2} = 49 x^{2} - 8820 x + 396900

= \frac{49 x ^{2} - 8820 x + 396900}{900}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{49 x ^{2} - 8820 x + 396900}{900} = \frac{49 x ^{2}}{900} - \frac{8820 x}{900} + \frac{396900}{900}

= \frac{49 x ^{2}}{900} - \frac{8820 x}{900} + \frac{396900}{900}

消掉

\frac{8820 x}{900} : \frac{49 x}{5}

= \frac{49 x ^{2}}{900} - \frac{49 x}{5} + \frac{396900}{900}

数字相除:

\frac{396900}{900} = 441

= \frac{49 x ^{2}}{900} - \frac{49 x}{5} + 441

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